Quasi contact metric manifolds with Killing characteristic vector fields
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An almost contact metric manifold is called a quasi contact metric manifold if the corresponding almost Hermitian cone is a quasi K\"ahler manifold, which was introduced by Y. Tashiro {{\cite{T}}} as a contact O*-manifold. In this paper, we show that a quasi contact metric manifold with Killing characteristic vector field is a K-contact manifold. This provides an extension of the definition of K-contact manifold.
Abstract
An almost contact metric manifold is called a quasi contact metric manifold if the corresponding almost Hermitian cone is a quasi K\"ahler manifold, which was introduced by Y. Tashiro {{\cite{T}}} as a contact O*-manifold. In this paper, we show that a quasi contact metric manifold with Killing characteristic vector field is a K-contact manifold. This provides an extension of the definition of K-contact manifold.
참고문헌 (10)
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